258132819168 has 576 divisors, whose sum is σ = 889482746880. Its totient is φ = 72120471552.

The previous prime is 258132819157. The next prime is 258132819181. The reversal of 258132819168 is 861918231852.

258132819168 is a `hidden beast` number, since 2 + 581 + 32 + 8 + 19 + 16 + 8 = 666.

258132819168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663580318 + ... + 663580706.

It is an arithmetic number, because the mean of its divisors is an integer number (1544240880).

Almost surely, 2^258132819168 is an apocalyptic number.

258132819168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258132819168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444741373440).

258132819168 is an abundant number, since it is smaller than the sum of its proper divisors (631349927712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258132819168 is a wasteful number, since it uses less digits than its factorization.

258132819168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 258132819168 in words is "two hundred fifty-eight billion, one hundred thirty-two million, eight hundred nineteen thousand, one hundred sixty-eight".